Degenerate polyexponential-Genocchi numbers and polynomials

Volume 22, Issue 4, pp 381--391 http://dx.doi.org/10.22436/jmcs.022.04.06

Publication Date: September 05, 2020 Submission Date: June 22, 2020 Revision Date: July 22, 2020 Accteptance Date: July 29, 2020

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Authors

Waseem A. Khan - Department of Mathematics and Natural Sciences, Prince Mohammad Bin Fahd University, P.O. Box 1664, Al Khobar 31952, Saudi Arabia. Aysha Khan - Department of Mathematics, College of Arts and Science-Wadi Al dawasir, Prince Sattam Bin Abdulaziz University, Riyadh region 11991, Saudi Arabia. Idrees A. Khan - Department of Mathematics, Faculty of Science, Integral University, Lucknow 226026, India.

Abstract

Recently, Kim et al. in [T. Kim, D. S. Kim, H. Y. Kim, L.-C. Jang, Informatica, \(\bf 3\) (2020), 8 pages] studied the degenerate poly-Bernoulli numbers and polynomials which are defined by using the polylogarithm function. In this paper, we study the degenerate polyexponential-Genocchi polynomials and numbers arising from polyexponential function and derive their explicit expressions and some identity involving them. In the final section, we introduce degenerate unipoly-Genocchi polynomials attached to an arithmetic function, by using polylogarithm function and investigate some identities for those polynomials.

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Keywords

• Polylogarithm function
• degenerate poly-Bernoulli polynomials
• degenerate poly-Genocchi polynomials
• unipoly function

MSC

•  11B83
•  05A19
•  65Q30

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